102084735354 has 192 divisors, whose sum is σ = 249376506624. Its totient is φ = 27753600000.

The previous prime is 102084735239. The next prime is 102084735377. The reversal of 102084735354 is 453537480201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86438644 + ... + 86439824.

It is an arithmetic number, because the mean of its divisors is an integer number (1298835972).

Almost surely, 2^102084735354 is an apocalyptic number.

102084735354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102084735354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124688253312).

102084735354 is an abundant number, since it is smaller than the sum of its proper divisors (147291771270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102084735354 is a wasteful number, since it uses less digits than its factorization.

102084735354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 102084735354 in words is "one hundred two billion, eighty-four million, seven hundred thirty-five thousand, three hundred fifty-four".